Weak subordination for convex univalent harmonic functions

DOI10.1016/j.jmaa.2008.08.015zbMath1343.30016OpenAlexW2004025098MaRDI QIDQ950480

Stacey Muir

Publication date: 22 October 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.08.015

zbMATH Keywords

convolutionHadamard productde la Vallée Poussin meanssubordination chainconvex univalent harmonic functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items (14)

Directional convexity of normalized harmonic convex mappings ⋮ Convolutions of harmonic right half-plane mappings ⋮ On Janowski starlike and convex meromorphic harmonic functions ⋮ Convolutions of harmonic right half-plane mappings with harmonic strip mappings ⋮ Harmonic mappings convex in one or every direction ⋮ Uniformly locally univalent harmonic mappings associated with the pre-Schwarzian norm ⋮ Classes of meromorphic harmonic functions and duality principle ⋮ A proof of a conjecture on the convolution of harmonic mappings and some related problems ⋮ Extreme points of subordination and weak subordination families of harmonic mappings ⋮ Convolutions of harmonic half-plane mappings with harmonic vertical strip mappings ⋮ Convex combinations of planar harmonic mappings realized through convolutions with half-strip mappings ⋮ Unnamed Item ⋮ Properties of harmonic functions defined by shear construction ⋮ Classes of meromorphic harmonic functions defined by Sălăgean operator

Cites Work

• Remarks on de la Vallée Poussin means and convex conformal maps of the circle
• A continuous extension of the de la Vallée Poussin means
• Hadamard products of schlicht functions and the Polya-Schoenberg conjecture
• Subordination of planar harmonic functions
• On some properties of the Gamma function
• Harmonic univalent functions
• Über die Subordination analytischer Funktionen.

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